Answer:
Equation:
3(x + 4) = 4x
Solution:
x = 12
Explanation:
These two shapes are rectangles. The area of a rectangle is:
Area = length×width
Area of the first rectangle is:
Area = 3(x+4)
The area of the second rectangle is:
Area = 4x
They asked us to make these two areas equal to each other.
3(x + 4) = 4x
To solve, use distributive property.
3x + 12 = 4x
subtract 3x from both sides.
12 = x
If x is 12 the first rectangle is a 3 × 16 rectangle. The area is 48.
And, the second rectangle is a 4×12 rectangle. So that area is also 48.
When x = 12, the areas are the same.